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Finding the Third Proportional to 132,485,071.50 and 289,061,443.13

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Solution

The third proportional to 132,485,071.50 and 289,061,443.13 is: 630,686,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,485,071.50 : 289,061,443.13 = 289,061,443.13 : x
  2. Step 2: Convert to fraction form
    132,485,071.50/289,061,443.13 = 289,061,443.13/x
  3. Step 3: Cross multiply
    132,485,071.50x = 289,061,443.13 × 289,061,443.13
  4. Step 4: Simplify right side
    132,485,071.50x = 83,556,517,901,507,616
  5. Step 5: Solve for x
    x = 83,556,517,901,507,616/132,485,071.50
  6. Step 6: Final answer
    x = 630,686,287.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.